The 49-year-old actress admits she sees "mean stuff" written about herself on the social networking site every day and it often hurts her feelings.

The former 'Sex and the City' star told NET-A-PORTER.com's The Edit magazine: "I see mean stuff every day: when I look at Twitter I scroll with one eye open and one closed."

The actress, who has son James, 11, and four-year-old twin daughters, Marion and Tabitha, with husband Matthew Broderick, recently lashed back at Sarah J. Symonds in a series of tweets after the self-described "relationship expert" suggested Sarah wasn't her children's biological mother because her daughters were carried by a surrogate.

She said: "That particular day, it was just one of the things I saw. I kept scrolling and then I was like, 'Wait a minute, did she just say that?' I went back and I thought, 'Well, this isn't unhealthy paranoia, this is absolutely conscious. This was a choice. She, not subtly at all, said that my children are not my children.' "

Sarah doesn't understand why she is the target of such negativity, as she tries to keep her family out of the spotlight.

She said: "What is it about me? I am not somebody who shows off her good fortune; I don't travel with bodyguards, I don't live a very glamorous life - I am afraid of all that. I don't talk about my marriage; I am circumspect about my children. I sometimes regret that people don't understand all that I do and all that I am because I am embarrassed to talk about what I've accomplished - I think it sounds self-centric and narcissistic."

But she added: "Other people can be mean, and that's something I just have to make peace with."